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NMR: Theory and Equivalence
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Nuclear Magnetic Resonance
Powerful analysis Identity Purity No authentic needed Analyze nuclei 1H, 13C, 31P, etc Get information of how they are attached
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Nuclear Magnetic Resonance
Based on nuclear spin Magnetic Large electromagnets create energy differences in nuclei Resonance Signal based on absorbed light in resonance with energy difference
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Nuclear Spin Some nuclei have spin
1H, 13C No spin if nuclei have even number of protons and neutrons (12C) Nuclei align spin with and against magnetic field
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External Magnetic Field
Bigger energy difference between spin states For absorption, Ephoton = Espin gap Spin flip occurs Consider the proton NMR spectrum of CH4
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NMR Spectrum CH4 in magnet Protons line up with/against RF energy
Only RF energy = gap energy absorbed Spectrum shows an absorption
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Magnetic Field Experienced
Not all nuclei in a molecule experience the same magnetic field, even if they are in the same magnet Why? Shielding! Consider CH3Cl
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NMR Spectrum CH3Cl in magnet Electronegative Cl deshield protons
Protons experience bigger external field Only RF energy = gap energy absorbed Spectrum shows a higher frequency absorption
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Other Sources of Shielding
Anisotropy Different effect along different axis Can have dramatic shielding/ deshielding effects
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NMR Spectrum Need standard: TMS (shielded)
Need relative frequency: ppm ppm = Hz shift/ MHz magnet 60 mHz 200 MHz
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Four Questions How many signals? Equivalence
Where on spectrum? Chemical Shift How big? Integration Shape? Splitting (coupling)
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Number of Signals Four sets of protons in different chemical environments Four sets of equivalent protons Leads to four distinct signals
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Equivalence Experience same average magnetic field due to
Free rotation Plane of symmetry Axis of symmetry
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How many 13C signals?
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How many 1H signals?
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A more complicated problem
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